Course title
線形代数学Ⅰ   [Linear Algebra Ⅰ]
Course category   Requirement   Credit 2 
Department   Year 1  Semester 1st 
Course type 1st  Course code 01ma1001b
Instructor(s)
西村 滋人   [NISHIMURA Shigeto]
Facility affiliation Graduate School of Agriculture Office   Email address

Course description
In this first introductory course to linear algebra, we will learn about elementary computations in linear algebra based on matrices.

This course is taught by a part-time lecturer. Once the employment of the part-time lecturer is confirmed, this syllabus may be modified. In this case, the official version is the modified syllabus.
Expected Learning
The goals of this course are
(1) to be capable of performing basic operations on matrices.
(2) to solve systems of linear equations by the sweeping-out method
(3) to be capable of performing their practical calculations of determinant

Corresponding criteria in the Diploma Policy:
See the Curriculum maps.
(URL: https://www.tuat.ac.jp/campuslife_career/campuslife/policy/ )

Course schedule
(1) Correspondence between systems of linear equations and matrices (guidance)
(2) Some definitions and terminologies on matrix
(3) Calculations of matrix
(4) Elementary transformations
(5) Reduced matrices and rank
(6) The sweeping-out method to solve systems of linear equations
(7) Permutations
(8) Definition of determinant; Sarrus' scheme
(9) Properties of determinant (Part I)
(10) Properties of determinant (part II)
(11) Cofactor expansion
(12) Cofactor matrices and inverse matrices
(13) Exercises on calculations of determinants
(14) Cramer’s formula
(15) Examination, review
Prerequisites
Nothing in particular
Required Text(s) and Materials
An introduction to linear algebra ( Toshitune Miyake) Baifukan
References
Assessment/Grading
Examination (100%)
Message from instructor(s)
Course keywords
Matrix, Rank, Inverse matrix, System of linear equations, Determinant,
Office hours
Office for Part-Time Lecturers
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
1/19/2022 10:58:16 AM